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» Heat Kernel Smoothing Using Laplace-Beltrami Eigenfunctions
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MICCAI
2010
Springer
13 years 3 months ago
Heat Kernel Smoothing Using Laplace-Beltrami Eigenfunctions
Seongho Seo, Moo K. Chung, Houri K. Vorperian
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 3 months ago
Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 2 months ago
Convergence, Stability, and Discrete Approximation of Laplace Spectra
Spectral methods have been widely used in a broad range of application fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed...
Tamal K. Dey, Pawas Ranjan, Yusu Wang
ISBI
2006
IEEE
14 years 5 months ago
Heat kernel smoothing on unit sphere
In brain imaging, cortical data such as the cortical thickness, cortical surface curvatures and surface coordinates have been mapped to a unit sphere for the purpose of visualizat...
Moo K. Chung
ICIP
2006
IEEE
14 years 6 months ago
Robust Diffusion of Structural Flows for Volumetric Image Interpolation
In this paper we propose a set of algorithms that combine the anisotropic smoothing using the heat kernel with the outlier rejection capability of robust statistics. The proposed ...
Ashish Doshi, Adrian G. Bors